Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 553664: peter decides to mix grades of gasoline in his truck. he puts in 12 gallons of regular and 7 gallons of premium for a total cost of $48.21. If premium gas cost .21 cents more per gallon, what was the price of each grade of gasoline?
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Question 553664: peter decides to mix grades of gasoline in his truck. he puts in 12 gallons of regular and 7 gallons of premium for a total cost of $48.21. If premium gas cost .21 cents more per gallon, what was the price of each grade of gasoline?
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Question 553677: find the equation of a line whose intercepts are twice of the line 3x-2y-12=0

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Question 553855: What is the answer to 17+3x=-3 ?????
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Question 553875: Please help me solve the below:
Bruce has $5.15 in dimes and quarters. He has 8 more quarters than dimes. How many quarters does he have ??
thank you !!!!!
(HS Freshman struggling in Algebra)

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Question 553899: 3x-y=7
9x-3y=21
i can use any method and i would like easy steps thanks

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Question 554059: need help solving linear equation blow:
x=2y=4
3x-y=5

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Question 554062: 4x-3y=-5
2x-y=-7

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Question 554099: what does 5/3w=-10 equal?

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Question 554099: what does 5/3w=-10 equal?

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Question 554181: 5 rolls + 30 balloons cost $18.60 What is the cost of each roll and each balloon?
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Question 554196: How many solutions does the system y=-7x+3 and y+7x=10 have?
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Question 554120: Eight years ago, Albert was 3/4 of Bilbos age. in 22 years he will be 9/10 of Bilbos age. How old is Bilbo now?
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Question 554302: Which variable would you isolate in order to solve the system below by substitution?
8x - y = 11
3x + 4y = 18

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Question 554380: x=6-4y
2x-3y=1
i dont know how to do these and i have 20 missing assignments please help!

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Question 554395: may you help me solve 2x+3y=13 3x+5y=10
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Question 554631: how do you solve the linear system?
2x+3y=14
-x+5y=19

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Question 554670: solve each system by substitution
here is the problem:
y=x-3
y=-2x+6

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Question 554866: Solve: -12x-3y=-15
4x+y=5

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Question 554869: 5x+3y=-11
7x-2y=13

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Question 555002: Ricks paint store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush?
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Question 554997: Alices restaurant has a total of 205 seats. Th enumber of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section?
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Question 555341: 8x+5y-4z+9y+13z-4z
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Question 555341: 8x+5y-4z+9y+13z-4z
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Question 555378: 2x+y=5
3x-y+10

Solve by graphing

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Question 555425: by what number can i multiply 6184 to get 1
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Question 555460: I need the quick answer for:
y=x+3
Y=2x+4
Its solving systems of equations by substitution...please help. Thankkkkks soooo much!!!

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Question 555472: 6x - y= -4. 2x + 2y = -2.
How do i solve that ??

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Question 555475: 4x+3y=33
6x+y=25

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Question 555497: I need to name the slope and name one point on the line that each point-slope equation represents. This is the problem: y = 3+4(x-5)
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Question 556004: what is the first step to this equation
8x-9y=19
4x+y=-7

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Question 556004: what is the first step to this equation
8x-9y=19
4x+y=-7

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Question 556061: I'm having trouble with System of Linear Equations by Substitution.
One of the problems I need help is,
"Solve the linear system using substitution"
-5x+3y=51
y=10x-8
------
What I did is
-5x+3y=51
y=10x-8
-5x+3(10x-8)=51
-5x+30x-8=51
25x-8=51
25x=75
x=3
and my answer is (3,51)
I don't think it's correct.


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Question 556076: how do you do 2x+7y=-20 and y=3x+7

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Question 556418: 5x + 3y = 23
2x + 4y = 12
Please help me figure out what the x and y are. my teacher wants me to present my answer to the class tomorrow and how i did it.
Thanks in advance.

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Question 556829: i) Solve the following system of equations graphically by first finding both intercepts for the straight line represented by each equation:
x-3y=3 & 2x+y=2
Estimate values for your solutions to one decimal place.
ii) Check your answer from the above question by solving the set of equations algebraically.
Help me, please.

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Question 556835: For line y=mx+b , where m > 0 and b < 0 , what change would occur if b is multiplied by -1 and m remains the same ?
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Question 556857: dfdafffddfdfs
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Question 556914:
Solve the system:

-x + 2y - 6z = 4
 x +  y + 2z = 3
2x + 3y + 2z = 5

What does the answer mean graphically?

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Question 557005: can help me through this question cause it confusing me y=2x+2 the cooridants are (1,1)
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Question 557033: how do you graph
1.x-y=-1 and x+y=-1
2.x+y=1 and y-x+1
3.-2x+3y=6 and x-3y=-9
4.2x-y=2 and 6x+y =6
5.y=x+3 and y=-x-5

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Question 556891: Determine the abscissae of the maxima, minima and inflection points.
y = x^4 + 6x^3 - 5
The answer is supposed to be: Minimum at x point = -9/2, inflection points at x=0 and x=-3
I don't know how to do this, help me please.

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Question 557321: Solve for x: 3=.6x-1.4x-8
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Question 66638: Find the slope of the line passing through the points (2, 2) and (4, 2).
a)0
b)1
c)2
d)Undefined
When working this problem I came up with b)as the answer for this question. Is this correct? If not could you help me with this? Thanks

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Question 67614: Solve the system by system:
8x - 4y = 16
y = 2y - 4
This substitutions have gotten me confused, any help would be appreciated. Thanks

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515